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kumpel [21]
3 years ago
6

rectangle P’R’S’T is a dilation of rectangle PRST and scale factor is 3. write an equation for the perimeter of P’R’S’T if the o

riginal sides of the rectangle were x and y
Mathematics
1 answer:
wariber [46]3 years ago
5 0
The perimeter formula for the original PRST rectangle is:
 P = 2x + 2y
 To find the perimeter formula of the rectangle P'R'S'T we must use the scale factor and substitute in each dimension.
 We have then:
 P '= 2 (3x) +2 (3y)
 Rewriting:
 P '= 6x + 6y
 P '= 6 (x + y)
 Answer:
 
An equation for the perimeter of P'R'S'T is:
 
P '= 6 (x + y)
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Start with

-2x-4 < 3x+21

Add 2x to both sides:

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Subtract 21 from both sides:

-25 < 5x

Divide both sides by 5. Since it is positive, we don't have to change the inequality sign:

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belka [17]

Answer:

Slope: -\frac{3}{4}

Y-intercept: 399

Slope-intercept form: y=-\frac{3}{4}x+399

Step-by-step explanation:

1. The equation in Standard form is given in the problem:

3y+4y=1596

2. Then, to write the equation of the line in slope-intercept form  y=mx+b, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:

4y=-3x+1596\\y=\frac{-3x+1596}{4}\\y=-\frac{3}{4}x+399

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3 years ago
At Dorothy's Hair Salon, 4 gallons of shampoo will last 3 weeks. She has 7 gallons of shampoo. How much more must she order if s
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Step-by-step explanation:

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Digiron [165]

The answer is 56.

As you can see, the triangle given is a right angle, meaning it is 90 degrees. To find the missing angle, we can solve 90 - 34 to get 56.

hope this helps !! have a nice day :))

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Masteriza [31]
<span>Today's age = x

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Answer:
Dianna is 45 years old now.

</span>
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3 years ago
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